On Drinfel'd twist deformation of the super-Virasoro algebra

TL;DR

This paper introduces a nonstandard quantum deformation of the super-Virasoro algebra using Drinfel'd twist, resulting in a new family of noncommutative Hopf superalgebras with deformed coproducts and antipodes.

Contribution

It applies Drinfel'd twist quantization to the super-Virasoro algebra, producing a novel family of noncommutative and noncocommutative Hopf superalgebras.

Findings

Derived deformed coproducts and antipodes for the super-Virasoro algebra.

Constructed a family of noncommutative Hopf superalgebras.

Extended the quantum deformation framework to superalgebras.

Abstract

In this paper, we describe nonstandard quantum deformation of the super-Virasoro algebra. Using the Drinfel'd twist quantization technique, we obtain the deformed coproduct and antipode. Hence we get a family of noncommutative and noncocommutative Hopf superalgebras.